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Symmetry-breaking bifurcations

  • Joel Smoller (University of Michigan, Ann Arbor, USA)
A3 01 (Sophus-Lie room)

Abstract

We present a theory of bifurcation from symmetry, based on topological techniques (Conley Index) and group representations. We apply the theory to equations of the form: Laplacian(u)+f(u)=0, on balls in $R^n$ with general homogenous boundary conditions, and we prove the existence of asymmetric (non-radial) solutions.

Anne Dornfeld

MPI for Mathematics in the Sciences Contact via Mail

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